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A generalization of Euler’s constant

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Abstract

The purpose of this paper is to evaluate the limit γ(a) of the sequence \(\left(\frac{1}{a}+\frac{1}{a+1}+\cdots+\frac{1}{a+n-1}-\ln\frac{a+n-1}{a}\right)_{n\in\mathbb{N}}\), where a ∈ (0, + ∞ ).

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Cluj-Napoca, Str. C. Daicoviciu nr. 15, 400020, Cluj-Napoca, Romania

    Alina Sîntămărian

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  1. Alina Sîntămărian
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Correspondence to Alina Sîntămărian.

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Sîntămărian, A. A generalization of Euler’s constant. Numer Algor 46, 141–151 (2007). https://doi.org/10.1007/s11075-007-9132-0

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  • DOI: https://doi.org/10.1007/s11075-007-9132-0

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